# Trigonometry #156

Geometry Level 4

Find the smallest positive number $$p$$ for which the equation $\cos(p\sin x)=\sin(p\cos x)$ has a solution for $$x\in[0,2\pi]$$.

Enter the value of $$\frac{\pi^{2}}{p^{2}}$$.

This problem is part of the set Trigonometry.

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